Imagine a separate study, using the same set of variables Table 2 Middle Class a

Question

Imagine a separate study, using the same set of variables Table 2 Middle Class ace Victimization on-white Total 160 34 94 ite 29 87 16 es 53 otal Working Class Race Table 3 ictimization White on-white Total 59 79 138 es Total Which class group has the higher percentage of respondents indicating that they have been a victim of crime in the past year? For each class, test they hypothesis that race and reported victimization are independent (alpha = .01) 0 Please show clear steps with work and legibly

Explanation / Answer

first part ) victim % in middle class=100*229/716=31.98

victim % in working class=100*59/138=42.75%

so working class has the higher percentate of respondents indicating that they have been a victim of crime in the past year.

(second part) here we use chi-square test to test the hypothesis that race and reported victimization are independent with

null hypothesis H0: race and victimization are indpendent

alternate hypothesis H1:race and victimization are not indpendent

chi-sqaure=sum((O-E)2/E with (r-1)(c-1) df

for middle class chi-squre=29.97 is more than critical chi-squre(0.01,1)=6.63, so we reject H0 and conclude that race and victimization are not indpendent

r for middle class chi-squre=23.86 is more than critical chi-squre(0.01,1)=6.63, so we reject H0 and conclude that race and victimization are not indpendent

Observed(O) Expected(E) E (O-E) (O-E)2/E 69 229*322/716 102.986 -33.986 11.2156 160 229*394/716 126.014 33.98603 9.166051 253 487*322/716 219.014 33.98603 5.273867 234 487*394/716 267.986 -33.986 4.310114 sum= 716 716 0 29.96564

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